32.1.8 AssocThenDissoc

1 Function
2 Brief Description
3 Sample Curve
4 Parameters
5 Derived Parameters
6 Script Access
7 Function File
8 Category

Function

\(y = NS + \begin{cases} \frac{L B_{\text{max}}}{L + K_{\text{off}} / K_{\text{on}}} \left(1 - e^{-(L K_{\text{on}} + K_{\text{off}}) x}\right) & (x \le \text{Time0}) \\[1.5em] \frac{L B_{\text{max}}}{L + K_{\text{off}} / K_{\text{on}}} \left(1 - e^{-(L K_{\text{on}} + K_{\text{off}}) \text{Time0}}\right) e^{-K_{\text{off}} (x - \text{Time0})} & (x > \text{Time0}) \end{cases}\)
\(\text{where } L = \text{Hotnm} \times 1\text{E}-9\) </math>

Brief Description

A piecewise model that simulates ligand binding using an exponential rise equation and an exponential decay equation.

Sample Curve

Parameters

Number: 6

Names: Hotnm, Kon, Koff, Bmax, Time0, NS

Meanings: Hotnm=radioligand concentration in nM, Kon=association rate constant, Koff=dissociation rate constant, Bmax=max binding capacity, Time0=washout time, NS=nonspecific binding

Lower Bounds: Kon>0, Koff>0

Upper Bounds: none

Derived Parameters

Kd=Koff/Kon

Script Access

nlf_AssocThenDissoc(x,Hotnm,Kon,Koff,Bmax,Time0,NS)

Function File

AssocThenDissoc.fdf